Linda and Gwen used the same number of grapes to bake cakes. Linda used
47 of her grapes and Gwen used
57 of her grapes. They had a total of 252 grapes at first.
- How many grapes did each girl use?
- How many grapes did both girls have left altogether?
| |
Linda |
Gwen |
Total |
Before |
7x5 =
35 u |
7x4 =
28 u |
63 u |
Change |
- 4x5 =
- 20 u |
- 5x4 =
- 20 u |
|
After |
3x5 =
15 u |
2x4 =
8 u |
23 u |
(a)
Linda and Gwen used the same number of grapes to bake cakes. Make the numerators the same. LCM of 4 and 5 is 20.
4x57x5 of Mary's grapes =
5x47x4 of Gwen's grapes
2035 of Mary's grapes =
2028 of Gwen's grapes
Total number of grapes at first
= 35 u + 28 u
= 63 u
63 u = 252
1 u = 252 ÷ 63 = 4
Number of grapes that each girl used
= 20 u
= 20 x 4
= 80
(b)
Total number of grapes that both girls had left
= 15 u + 8 u
= 23 u
= 23 x 4
= 92
Answer(s): (a) 80; (b) 92
